Question
Simplify: $a(b - c) - b(c - a) - c(a - b)$

Answer

To simplify, we will use distributive law as follows:​
$a(b - c)-b(c - a)-c(a - b)$
$= ab - ac - bc + ba - ca + cb$
$= ab + ba - ac - ca - bc + cb$
$= 2ab - 2ac$
$= 0$

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